The Real Steel actor recalled singing in Tokyo with the Twilight star and director Baz Luhrmann after the three unknowingly shared a flight to the Japanese city for promotional tours.
"I actually did karaoke with Rob. That's random, isn't it? We were on our way to Japan, and he was promoting [Twilight] and I didn't talk to him at all on the flight, because he's this really tall guy with a hood over his head literally," Jackman told MTV News.
"Every time I'd go to the bathroom, I'd be like, 'Man, that guy takes some serious sleeping pills', because [he was slumped over] the whole time. When he got out, I was like, 'Hey, man', and Baz Luhrmann was also on the flight because we were promoting Australia."
Jackman went on to admit that he was impressed with Pattinson's "soulful" voice upon hearing him sing.
"So we went out to this Japanese karaoke bar, and we invited Rob, and he came," he said. "It was so much fun. Man, he's got a voice. Really soulful."
Jackman also added that he had gone to the bar in costume, saying: "I was a schoolgirl, Baz got dressed up, and Rob did not. He was too cool for school."
The actor recently revealed that he does not allow his children to use the internet or watch TV on weekdays.
Watch Hugh Jackman discuss Real Steel with Digital Spy below: